"is" operator behaves unexpectedly with integers

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Why does the following behave unexpectedly in Python?

>>> a = 256
>>> b = 256
>>> a is b
True           # This is an expected result
>>> a = 257
>>> b = 257
>>> a is b
False          # What happened here? Why is this False?
>>> 257 is 257
True           # Yet the literal numbers compare properly

I am using Python 2.5.2. Trying some different versions of Python, it appears that Python 2.3.3 shows the above behaviour between 99 and 100.

Based on the above, I can hypothesize that Python is internally implemented such that "small" integers are stored in a different way than larger integers and the is operator can tell the difference. Why the leaky abstraction? What is a better way of comparing two arbitrary objects to see whether they are the same when I don't know in advance whether they are numbers or not?

11 Answers

Take a look at this:

>>> a = 256
>>> b = 256
>>> id(a)
9987148
>>> id(b)
9987148
>>> a = 257
>>> b = 257
>>> id(a)
11662816
>>> id(b)
11662828

Here's what I found in the Python 2 documentation, "Plain Integer Objects" (It's the same for Python 3):

The current implementation keeps an array of integer objects for all integers between -5 and 256, when you create an int in that range you actually just get back a reference to the existing object. So it should be possible to change the value of 1. I suspect the behaviour of Python in this case is undefined. :-)

It depends on whether you're looking to see if 2 things are equal, or the same object.

is checks to see if they are the same object, not just equal. The small ints are probably pointing to the same memory location for space efficiency

In [29]: a = 3
In [30]: b = 3
In [31]: id(a)
Out[31]: 500729144
In [32]: id(b)
Out[32]: 500729144

You should use == to compare equality of arbitrary objects. You can specify the behavior with the __eq__, and __ne__ attributes.

As you can check in source file intobject.c, Python caches small integers for efficiency. Every time you create a reference to a small integer, you are referring the cached small integer, not a new object. 257 is not an small integer, so it is calculated as a different object.

It is better to use == for that purpose.

I think your hypotheses is correct. Experiment with id (identity of object):

In [1]: id(255)
Out[1]: 146349024

In [2]: id(255)
Out[2]: 146349024

In [3]: id(257)
Out[3]: 146802752

In [4]: id(257)
Out[4]: 148993740

In [5]: a=255

In [6]: b=255

In [7]: c=257

In [8]: d=257

In [9]: id(a), id(b), id(c), id(d)
Out[9]: (146349024, 146349024, 146783024, 146804020)

It appears that numbers <= 255 are treated as literals and anything above is treated differently!

For immutable value objects, like ints, strings or datetimes, object identity is not especially useful. It's better to think about equality. Identity is essentially an implementation detail for value objects - since they're immutable, there's no effective difference between having multiple refs to the same object or multiple objects.

What’s New In Python 3.8: Changes in Python behavior:

The compiler now produces a SyntaxWarning when identity checks (is and is not) are used with certain types of literals (e.g. strings, ints). These can often work by accident in CPython, but are not guaranteed by the language spec. The warning advises users to use equality tests (== and !=) instead.

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